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USPshnik [31]
2 years ago
9

What is x, the length of the diagonal, to the nearest

Mathematics
1 answer:
love history [14]2 years ago
8 0

The value of x, the length of the diagonal, to the nearest  whole number is 5

To get the value of x from the given diagram, we will use the cosine rule as shown:

c² = a² + b² - 2ab cos Ф

From the given diagram;

a  = 6

b = 4

Ф = 55 degrees

Substitute into the formula

c² = 6² + 4² - 2(4)(6)cos 55

c² = 36 + 16 - 48cos55

c² = 52 - 27.53

c² = 24.4

c = 4.94

c = 5 (to the nearest while number).

The value of x, the length of the diagonal, to the nearest  whole number is 5

Learn more on cosine rule here: brainly.com/question/7872492

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If ( square root of 128 - square root of 72) is divided by square root of 8, the result is?
AlladinOne [14]

Answer:

\sqrt{128}  -  \sqrt{72}   = 2.82842712474619 \\  \\  2.82842712474619  \div  \sqrt{8 }  = 1

<em>HOPE </em><em>IT </em><em>HELPS</em><em>! </em><em> </em><em>:</em><em>)</em>

7 0
3 years ago
321.5 is between ________ and ________ on the number line.
Lena [83]

321.5 is between ___321_____ and ___322_____ on the number line.

Answer

B

321 and 322

8 0
3 years ago
The number of items (N) that can be purchased for a given amount of money is inversely proportional to the cost (C) of an item.
mars1129 [50]

Answer:

436 items

Step-by-step explanation:

When a quantity A is inversely proportional to another quantity B, we can write:

A=\frac{k}{B}

Where k is the proportionality constant  [that we need to find]

For this problem, we can write the ratio as:

N=\frac{k}{C}

Now given N = 480 and C = 4.90, we first find k:

N=\frac{k}{C}\\480=\frac{k}{4.90}\\k=4.90*480\\k=2352

Now, as second step, we need this time to find N, when

C = 5.40

Note, we know know k = 2352, so we find N:

N=\frac{k}{C}\\N=\frac{2352}{5.40}\\N=435.55

Rounding to next whole number, we have 436 items

5 0
3 years ago
(7 + (-3) - 4 ) ÷ ( (-7) x ( 2 - (-6) ) )<br><br> Please show work!
Temka [501]

Answer:

Undefined

Step-by-step explanation:

(7 - 3 - 4) ÷ (-7 * (2+6))

(0) ÷ (-56)

Undefined because zero cannot be divided

Hope this helps :)

5 0
3 years ago
Read 2 more answers
What is the domain and derivative of f(x)=ln(2xsqrt(2+x))?
harkovskaia [24]
Domain is the numbers yo can use
we has a sqrt and a ln
we cant have any neagtive ln's or sqrts
x cannot be negative
it cannot be 0 either
domain is all numbers bigger than 0


deritivive
apply chain rule
dy/dx(f(g(x))=f'(g(x))g'(x)
and also
dy/dx (lnx)=1/x
and
dy/dx(f(x)g(x))=f'(x)g(x)+g'(x)f(x)
and from experience
dy/dx(sqrtx)=1/(2√x)


so

dy/dx(ln(2xsqrt(2+x)))=
(1/(2xsqrt(2+x))(2)(sqrt(2+x)+(x/(2sqrt(2+x))=
(3x+4)/(2x(x+2))



domain is all real numbers greater than 0
derivitive is \frac{3x+4}{2x(x+2)}
7 0
3 years ago
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